Upper limit to duration of tone(pin,freq,duration)

It compiles & uploads, so it would seem so - haven't tried connecting a speaker yet to hear it.

// info on alarm sound
#include "pitches.h"

// notes in the melody:
int thisNote = 0;
int noteDuration = 0;
int pauseBetweenNotes = 0;
int melody[] = {
  NOTE_C6, NOTE_A5, NOTE_C6, NOTE_A5, NOTE_C6, NOTE_A5, NOTE_C6};
// note durations: 4 = quarter note, 8 = eighth note, etc.:
int noteDurations[] = {
  0xffffffff,12,12,12,12,12,4};
void setup(){}
void loop(){
  for (thisNote = 0; thisNote < 8; thisNote++) 
  {
    // to calculate the note duration, take one second 
    // divided by the note type.
    //e.g. quarter note = 1000 / 4, eighth note = 1000/8, etc.
    // noteDuration = 1000/noteDurations[thisNote];
    noteDuration =noteDurations[thisNote];
    noTone(6);       //apparent known bug - need this for the tone to play next.
    tone(6, melody[thisNote],noteDuration);
    // to distinguish the notes, set a minimum time between them.
    // using the note's duration + 10%:
    pauseBetweenNotes = noteDuration * 1.10;
    delay(pauseBetweenNotes);
    // stop the tone playing:
    //  noTone(6); 
  }
}